{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:49:07Z","timestamp":1787320147554,"version":"build-2736575974"},"reference-count":29,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Control Optim."],"published-print":{"date-parts":[[2009,1]]},"abstract":"<jats:p>We consider a nonrelativistic charged particle in a one-dimensional infinite square potential well. This quantum system is subjected to a control, which is a uniform (in space) time-depending electric field. It is represented by a complex probability amplitude solution of a Schr\u00f6dinger equation on a one-dimensional bounded domain, with Dirichlet boundary conditions. We prove the almost global practical stabilization of the eigenstates by explicit feedback laws.<\/jats:p>","DOI":"10.1137\/070704204","type":"journal-article","created":{"date-parts":[[2009,3,18]],"date-time":"2009-03-18T18:07:16Z","timestamp":1237399636000},"page":"1179-1205","source":"Crossref","is-referenced-by-count":30,"title":["Practical Stabilization of a Quantum Particle in a One-Dimensional Infinite Square Potential Well"],"prefix":"10.1137","volume":"48","author":[{"given":"Karine","family":"Beauchard","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mazyar","family":"Mirrahimi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2009,3,18]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2003.815027"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1063\/1.1467611"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1016\/j.crma.2005.11.021"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2005.04.006"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1016\/j.matpur.2005.02.005"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfa.2005.03.021"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2006.10.024"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1063\/1.468998"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1007\/BF01211563"},{"key":"R10","unstructured":"J. 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Turinici,\n                      Controllable quantities for bilinear quantum systems\n                      , in Proceedings of the 39th IEEE Conference on Decision and Control, 2000, pp. 1364\u20131369.","DOI":"10.1109\/CDC.2000.912047"},{"key":"R28","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/36\/10\/316"},{"key":"R29","doi-asserted-by":"publisher","DOI":"10.1088\/1464-4266\/7\/10\/001"}],"container-title":["SIAM Journal on Control and Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/070704204","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T12:54:57Z","timestamp":1787316897000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/070704204"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,1]]},"references-count":29,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2009,1]]}},"alternative-id":["10.1137\/070704204"],"URL":"https:\/\/doi.org\/10.1137\/070704204","relation":{},"ISSN":["0363-0129","1095-7138"],"issn-type":[{"value":"0363-0129","type":"print"},{"value":"1095-7138","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,1]]}}}